Regularity of Unipotent Elements in Total Positivity

IF 0.4 3区数学 Q4 MATHEMATICS

Transformation Groups Pub Date : 2024-09-05 DOI:10.1007/s00031-024-09871-2

Haiyu Chen, Kaitao Xie

引用次数: 0

Abstract

Let G be a connected reductive group split over \(\mathbb R\). We show that every unipotent element in the totally nonnegative monoid of G is regular in some Levi subgroups, confirming a conjecture of Lusztig.

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全正中单能元素的规则性

让 G 是一个分裂于（\mathbb R\ ）的连通还原群。我们证明，G 的完全非负单元中的每个单能元在某些 Levi 子群中都是正则的，这证实了卢茨蒂希的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.